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A note on the analysis of subjective judgement matrices. (English) Zbl 0585.62183

The paper is devoted to the problem of subjective estimates of the utility of one entity relative to another. The author derives the geometric mean vector method - an estimation method comparable with an earlier one, the T. L. Saaty’s eigenvector procedure [see e.g. ibid. 15, 234-281 (1977; Zbl 0372.62084) and Discrete and system models, Modules Appl. Math. 3, 218-253 (1983; Zbl 0511.90003)] - that can be applied to hierarchical problems in exactly the same way as the earlier measure, but is developed on the base of statistical considerations. The suggested method shares the desirable qualities of the earlier eigenvector procedure and is preferable to it in several important aspects discussed in the paper.
Reviewer: J.Kelemen

MSC:

62P15 Applications of statistics to psychology
91B16 Utility theory
91B08 Individual preferences
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